Trace anomaly for chiral fermions via Hadamard subtraction
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Publication:2283511
DOI10.1007/JHEP10(2019)223zbMATH Open1427.83100arXiv1904.10982OpenAlexW3105767401WikidataQ126985547 ScholiaQ126985547MaRDI QIDQ2283511
Author name not available (Why is that?)
Publication date: 2 January 2020
Published in: (Search for Journal in Brave)
Abstract: We calculate the trace (conformal) anomaly for chiral fermions in a general curved background using Hadamard subtraction. While in intermediate steps of the calculation imaginary terms proportional to the Pontryagin density appear, imposing a vanishing divergence of the stress tensor these terms completely cancel, and we recover the well-known result equal to half the trace anomaly of a Dirac fermion. We elaborate in detail on the advantages of the Hadamard method for the general definition of composite operators in general curved spacetimes, and speculate on possible causes for the appearance of the Pontryagin density in other calculations.
Full work available at URL: https://arxiv.org/abs/1904.10982
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